4004410450056 has 128 divisors (see below), whose sum is σ = 10369013886720. Its totient is φ = 1288008843264.

The previous prime is 4004410450039. The next prime is 4004410450091. The reversal of 4004410450056 is 6500540144004.

It is a junction number, because it is equal to n+sod(n) for n = 4004410449999 and 4004410450026.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32717085 + ... + 32839251.

It is an arithmetic number, because the mean of its divisors is an integer number (81007920990).

Almost surely, 2^{4004410450056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004410450056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184506943360).

4004410450056 is an abundant number, since it is smaller than the sum of its proper divisors (6364603436664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4004410450056 is a wasteful number, since it uses less digits than its factorization.

4004410450056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122655 (or 122651 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 4004410450056 in words is "four trillion, four billion, four hundred ten million, four hundred fifty thousand, fifty-six".